---
title: "AP Statistics Formulate Questions: Skill 1.A Guide"
description: "Learn AP Statistics Formulate Questions (Skill 1.A): write valid investigative questions that need real statistical analysis."
canonical: "https://fiveable.me/ap-stats/statistical-practices/formulate-questions/study-guide/TXhEY2dP1j4wSH3W5vtH"
type: "study-guide"
subject: "AP Statistics"
unit: "**Statistical Practices"
lastUpdated: "2026-06-18"
---

# AP Statistics Formulate Questions: Skill 1.A Guide

## Summary

Learn AP Statistics Formulate Questions (Skill 1.A): write valid investigative questions that need real statistical analysis.

## Guide

## Overview

[AP Statistics](/ap-stats "fv-autolink") Formulate Questions is the practice of writing a clear investigative question that a statistical study can actually answer. Your job is to take a real-world situation and turn it into a question about data, [variability](/ap-stats/key-terms/variability "fv-autolink"), or a relationship that you can study with sampling, experiments, probability, or inference.

This practice covers one subskill, Skill 1.A: determine a valid investigative question that requires a statistical investigation. It shows up on both multiple-choice and free-response questions, and it sets up everything else you do in the course. A good question points you toward the right data and the right analysis.

## What Formulate Questions Means

An investigative question is one that you answer by collecting and analyzing data, not by looking up a single fact or doing one arithmetic calculation.

The key word is "statistical." A statistical question anticipates variability. It expects that values will differ across people, objects, or repeated measurements, and it asks something about that [variation](/ap-stats/unit-5/why-is-my-sample-not-like-yours/study-guide/Mrybsi6gfieJDqF2LNju "fv-autolink"), a typical value, or a pattern.

Compare these two:

- Not statistical: "How tall is the teacher in room 204?" There is one answer.
- Statistical: "What is the typical height of seniors at our school, and how much do heights vary?" Answers vary across students, so you need data.

Formulating a question well means the question is specific, answerable with data, and matched to the [population](/ap-stats/key-terms/population "fv-autolink"), [treatments](/ap-stats/key-terms/treatments "fv-autolink"), or relationship you care about.

## What This Practice Requires

To do this well, you need to be able to:

- Recognize when a question can be answered by gathering and analyzing data.
- Tell the difference between a question with a single answer and a question that involves variability.
- Identify the [variable](/ap-stats/unit-1/language-variation-variables/study-guide/nKpeaxi1H3Ht9aFhTHKt "fv-autolink") or variables the question is about and whether they are categorical or quantitative.
- Match the question to a study type, such as a survey for an estimate, an [experiment](/ap-stats/key-terms/experiment "fv-autolink") for cause and effect, or a regression for a relationship between two [quantitative variables](/ap-stats/key-terms/quantitative-variable "fv-autolink").
- Make sure the question names a clear population or group so a conclusion has meaning.

## Subskills You Need

**Skill 1.A: Determine a valid investigative question that requires a statistical investigation.**

A valid investigative question has a few features:

- It anticipates variability in the data.
- It can be answered by [collecting data](/ap-stats/unit-3 "fv-autolink"), not by a single fact.
- It is specific about the group, variable, or relationship being studied.
- It connects to a method you could actually carry out.

Ask yourself: "Would different individuals or repeated trials give different answers?" If yes, the question is statistical. "Could I answer this with one measurement or one lookup?" If yes, it is not an investigative question.

## How It Shows Up on the AP Exam

Skill 1.A appears in both multiple-choice and free-response sections.

On multiple choice, you might:

- Pick which question requires a statistical investigation.
- Identify which question matches a described study or data set.
- Recognize a question that anticipates variability versus one with a single answer.

On free response, you might:

- Write or refine an investigative question for a given context.
- Explain why a question can be answered with the data collected.
- State the question that a study is designed to address.

Practical tip: read the prompt and name the task before you write. Make sure your question matches the population and variables in the scenario, and keep it specific enough that a reader knows exactly what data would answer it.

## Examples Across the Course

Formulating questions connects to every part of the course. Here are varied examples tied to different content areas.

**Exploring one-variable data**
"How much do daily commute times vary among workers in our city, and what is a typical commute time?" This anticipates variability and points to a [distribution](/ap-stats/unit-1/describing-distribution-quantitative-variable/study-guide/4dcjgkWfLu7tmS9bDtjP "fv-autolink") you can summarize and graph.

**Exploring two-variable data and regression**
"Can the number of cricket chirps per minute predict the air temperature?" This asks about a relationship between two quantitative variables, which sets up [correlation](/ap-stats/unit-2/correlation/study-guide/LlS81pC6QricXgIKNuFM "fv-autolink") and a [linear regression model](/ap-stats/unit-2/linear-regression-models/study-guide/PSt5cfDuvB5nu60DHulR "fv-autolink").

**Collecting data with experiments**
"Does a new study technique improve test scores compared to the usual technique for students in this course?" This is a cause-and-effect question, so it points to a [randomized experiment](/ap-stats/key-terms/randomized-experiment "fv-autolink") with [treatment groups](/ap-stats/key-terms/treatment-groups "fv-autolink").

**Probability and [random variables](/ap-stats/key-terms/random-variable "fv-autolink")**
"About how many rolls of a fair six-sided die should we expect before getting three 1s?" This question anticipates variation across trials and connects to [simulation](/ap-stats/unit-4/intro-binomial-distribution/study-guide/uvU3qsHmVgEuPjvhgaEC "fv-autolink") and probability distributions.

**Inference for [proportions](/ap-stats/unit-1/representing-categorical-variable-with-tables/study-guide/JUZVd7cRAnbarZyNoEAg "fv-autolink")**
"What proportion of voters in this district support the ballot measure, and how confident can we be in that estimate?" This points toward [random sampling](/ap-stats/unit-6/justifying-claim-based-on-confidence-interval-for-difference-population-proportions/study-guide/m6d2wvAbSyMqmNwEyt43 "fv-autolink") and a confidence interval for a population proportion.

Notice how each question names a group or relationship, expects variability, and suggests a specific method.

## How to Practice Formulate Questions

- Take any everyday [claim](/ap-stats/unit-6/justifying-claim-based-on-confidence-interval-for-population-proportion/study-guide/YeTpyj6nyq03j0AJO3Bm "fv-autolink") and rewrite it as a statistical question. Add a group, a variable, and the idea of variability.
- Sort questions into "single answer" versus "needs data." Explain your reasoning each time.
- For every question you write, name the population, the variable or variables, and a study type that could answer it.
- Practice matching: given a data set or study description, write the question it answers.
- When you revise a vague question, make it more specific by adding who, what variable, and what comparison or estimate.

## Common Mistakes

- Writing a question with a single answer, like asking about one specific object instead of a group.
- Leaving out the population, so the conclusion has no clear meaning.
- Being too vague, like "Is exercise good?" instead of naming a variable and a comparison.
- Asking a cause-and-effect question but planning only a survey, which cannot establish causation.
- Confusing categorical and quantitative variables, which leads to a question that does not match the data.
- Turning a statistical question into a yes or no lookup that does not involve variability.

## Quick Review

- An investigative question is answered by collecting and analyzing data.
- A statistical question anticipates variability and is specific about the group and variable.
- Skill 1.A asks you to determine a valid question that requires a statistical investigation.
- Good questions match a method: surveys for estimates, experiments for cause and effect, regression for [relationships](/ap-stats/unit-2/introducing-statistics-are-variables-related/study-guide/Mh7Se81sjpqSYhL2ihl1 "fv-autolink") between quantitative variables.
- On the exam, keep questions specific, tie them to the population in the prompt, and make sure they could actually be answered with data.